ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

• 4 A
• 3 B
• 2 C
• 1 D

The set of all positive even integers is

• Not a group A
• A group w.r.t subtraction B
• A group w.r.t division C
• A group w.r.t multiplication D

The set {-1,1} is closed under the binary operation of

• Addition A
• Multiplication B
• Subtraction C
• Division D

If D = {a} , the P(D) =

• {a} A

• ∅

  B
• {∅,{a}} C
• {∅,a} D

The set (Z,+) forms a group

• Forms a group w.r.t addition A
• Non commutative group w.r.t multiplication B
• Forms a group w.r.t multiplication C
• Doesn't form a group D

The set of complex numbers forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Subtraction D

• 
  A
• 
  B
• 
  C
• 
  D

The negation of given number is a

• Binary operation A
• Unary operation B
• Relation C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The logic in which every statement is regarded as true or false and no other possibility is called

• Aristotelian login A
• Inductive logic B
• Non-Aristotelian logic C
• None of these D

{0} is a

• Empty set A
• Singleton set B
• Zero set C
• Null Set D

(A ∩ B)c =

• A∩ B A
• (A ∪ B)c B
• Ac∪Bc C
• Φ D

{1, 2, 3, 4,.....} is set of ______

• Natural numbers A
• Whole numbers B
• Integers C
• Rational numbers D

• 
  A
• 
  B
• 
  C
• 
  D

The many subset can be formed from the set {a,b,c,d}

• 8 A
• 4 B
• 12 C
• 16 D

The function {f(x,y)|y = ax2 +bx +c} is

• One-one function A
• Constant function B
• Onto function C
• Quadratic function D

• 
  A
• 
  B
• 
  C
• 
  D

Φ set is the _______ of all sets

• Subset A
• Union B
• Universal C
• Intersection D

The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Both addition and multiplication D

The set X is

• Proper Subset of X A
• Not A subset of X B
• Improper Subset of X C
• None of these D

A conditional is regarded as false only when the antecedent is true and consequent is

• True A
• False B
• Known C
• Unknown D

A∪(A∪B)= --------------------

• B A
• A B
• A∪B C
• None of these D

Which of the following is the definition of singleton

• The objects in a set A
• A set having no element B
• A set having no subset C
• None of these D

Multiplicative inverse of "1" is

• +- 1 A
• 0 B
• 1 C
• None of these D

The number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None D

• A A
• A' B
• U C
• A A' D

Every subset of a finite set is

• Disjoint A
• Null B
• Finite C
• Infinite D

Onto function is also called

• Binjective function A
• Injective function B
• Surjechive function C
• None of these D

The contra positive of p → q is

• q → p A
• ~q→~q B
• ~p→~q C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D